In central Pb-Pb collisions at the LHC at ' = 5.5 TeV, high rates are expected at energies at which jets can be reconstructed against the large background of the nucleus-nucleus underlying event. This will open the possibility to quantify the effect of partonic energy loss through medium induced gluon radiation (jet quenching) by detailed measurements of the modification of the longitudinal and transverse structure of identified jets. ALICE will use a combination of its central tracking system and the electromagnetic calorimeter (EMCal) to measure and trigger on jets. The projected performance of ALICE to perform these jet measurements will be discussed. The simulation results presented here have been also published in 1,2.